Recurrence relation for plethysm

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arxiv 2008.13070 v2 pith:7LD2K323 submitted 2020-08-29 math.CO

\'Etienne T\'etreault This is my paper

classification math.CO

keywords formulaplethysmrecurrencedescribeoriginalproofrelationthrall

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We describe a recurrence formula for the plethysm $h_3[h_n]$. The proof is based on the original formula by Thrall.

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A geometric and generating function approach to plethysm
math.CO 2025-11 unverdicted novelty 6.0

A bivariate generating function for plethysm coefficients with bounded length(λ) is rational; for length 2 an explicit geometric algorithm exists via q-Ehrhart theory, plus linear recursions for the SL2 case.